OAI/InformationTheory/Entanglement/TraceNorm.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.SecretKey.unitary_reverse line 12
  2. lemma OAI.SecretKey.unitary_mul line 14
  3. lemma OAI.SecretKey.unitary_star line 18
  4. lemma OAI.SecretKey.unitary_entry_norm_le line 21
  5. lemma OAI.SecretKey.trace_mul_diagonal line 33
  6. lemma OAI.SecretKey.trace_mul_psd_norm_le line 37
  7. lemma OAI.SecretKey.traceNorm_nonneg line 62
  8. lemma OAI.SecretKey.traceNorm_of_psd line 67
  9. lemma OAI.SecretKey.traceNorm_unitary_left line 72
  10. lemma OAI.SecretKey.traceNorm_unitary_right line 78
  11. lemma OAI.SecretKey.trace_unitary_norm_le line 96
  12. lemma OAI.SecretKey.traceNorm_witness line 103
  13. lemma OAI.SecretKey.trace_re_le_traceNorm line 110
  14. lemma OAI.SecretKey.traceNorm_add_le line 115